Finite Group Databasebeta

← Group #349596

Character table — Group #349596

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444222222224444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111-1-1-1-111-1-111-1-11-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111-1-111-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ911111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1111-1
χ1211111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-111-1-1-11
χ1311111111111111111-1-11-1-1-1-111-1-111-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-11
χ1411111111111111111-1-11-1-1-1-111-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11-1
χ1511111111111111111-1-11-1-1-1-1-1-111-1-111-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-11
χ1611111111111111111-1-11-1-1-1-1-1-111-1-111-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111-1
χ1722222222222-2-2-22-2-222-20000002200-2-2-2000000222-200-2-2000000000000000000
χ1822222222222-2-2-22-2-222-2000000-2-20022-2000000-2-22-20022000000000000000000
χ1922222222222-2-2-22-2-2-2-2-20000002200-2-22000000-2-2-220022000000000000000000
χ2022222222222-2-2-22-2-2-2-2-2000000-2-20022200000022-2200-2-2000000000000000000
χ2122222222-2-2-2222-22-222-200002200-2-200-200002200-22-2-200000000000000000000
χ2222222222-2-2-2222-22-222-20000-2-2002200-20000-2-200-222200000000000000000000
χ2322222222-2-2-2222-22-2-2-2-200002200-2-20020000-2-2002-22200000000000000000000
χ2422222222-2-2-2222-22-2-2-2-20000-2-20022002000022002-2-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-200000000222-2-20000-2-20000000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-222000000002-2-2220000-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2222-2-200000000-2-2-2220000220000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22-2-22200000000-222-2-20000220000000000000000000000
χ292222-2-2-2-222-222-2-2-2200-22-22-22-22-22-22-2000000000000000000000000000000000
χ302222-2-2-2-222-222-2-2-2200-22-22-2-22-22-22-22000000000000000000000000000000000
χ312222-2-2-2-222-222-2-2-2200-2-22-222-2-222-2-22000000000000000000000000000000000
χ322222-2-2-2-222-222-2-2-2200-2-22-22-222-2-222-2000000000000000000000000000000000
χ332222-2-2-2-222-2-2-22-22-20020000002-200-2202i−2i2i−2i2i−2i00002i−2i00000000000000000000
χ342222-2-2-2-222-2-2-22-22-20020000002-200-220−2i2i−2i2i−2i2i0000−2i2i00000000000000000000
χ352222-2-2-2-222-2-2-22-22-2002000000-22002-202i−2i2i−2i−2i2i0000−2i2i00000000000000000000
χ362222-2-2-2-222-2-2-22-22-2002000000-22002-20−2i2i−2i2i2i−2i00002i−2i00000000000000000000
χ372222-2-2-2-2-2-2222-22-2-200200002-200-220002i−2i−2i2i002i−2i00002i−2i000000000000000000
χ382222-2-2-2-2-2-2222-22-2-200200002-200-22000−2i2i2i−2i00−2i2i0000−2i2i000000000000000000
χ392222-2-2-2-2-2-2222-22-2-20020000-22002-20002i−2i−2i2i00−2i2i0000−2i2i000000000000000000
χ402222-2-2-2-2-2-2222-22-2-20020000-22002-2000−2i2i2i−2i002i−2i00002i−2i000000000000000000
χ412222-2-2-2-2-2-22-2-2222200-22-2-2200000000000002i−2i2i−2i00−2i2i−2i2i000000000000000000
χ422222-2-2-2-2-2-22-2-2222200-22-2-220000000000000−2i2i−2i2i002i−2i2i−2i000000000000000000
χ432222-2-2-2-2-2-22-2-2222200-2-222-200000000000002i−2i−2i2i00−2i2i2i−2i000000000000000000
χ442222-2-2-2-2-2-22-2-2222200-2-222-20000000000000−2i2i2i−2i002i−2i−2i2i000000000000000000
χ4544-4-444-4-40000000004-400000000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000
χ4644-4-444-4-40000000004-40000000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000
χ4744-4-444-4-4000000000-4400000000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000
χ4844-4-444-4-4000000000-440000000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ494-44-44-44-40004-440-4000000000000000000000000000000000000000002i2−2i2000000
χ504-44-44-44-40004-440-400000000000000000000000000000000000000000−2i22i2000000
χ514-44-44-44-4000-44-40400000000000000000000000000000000000000022−2200000000
χ524-44-44-44-4000-44-404000000000000000000000000000000000000000−222200000000
χ534-44-4-44-440004-4-4040000000000000000000000000000000000022−2222−220000000000
χ544-44-4-44-440004-4-40400000000000000000000000000000000000−2222−22220000000000
χ554-44-4-44-44000-4440-400000000000000000000000000000002i2−2i22i2−2i200000000000000
χ564-44-4-44-44000-4440-40000000000000000000000000000000−2i22i2−2i22i200000000000000
χ574-4-444-4-444-44000-4000000000000000000000000000000000000000000002i2−2i20000
χ584-4-444-4-444-44000-400000000000000000000000000000000000000000000−2i22i20000
χ594-4-444-4-44-44-40004000000000000000000000000000000000000000000000022−2200
χ604-4-444-4-44-44-400040000000000000000000000000000000000000000000000−222200
χ614-4-44-444-44-4-400040000000000000000000000000000000022−22−222200000000000000
χ624-4-44-444-44-4-4000400000000000000000000000000000000−222222−2200000000000000
χ634-4-44-444-4-444000-40000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ644-4-44-444-4-444000-4000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).